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Finding the Fourth Proportional to 77,995.48, 107,626.58 and 47,767

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Solution

The fourth proportional to 77,995.48, 107,626.58 and 47,767 is: 65,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,995.48 : 107,626.58 = 47,767 : x
  2. Step 2: Convert to fraction form
    77,995.48/107,626.58 = 47,767/x
  3. Step 3: Cross multiply
    77,995.48x = 107,626.58 × 47,767
  4. Step 4: Simplify right side
    77,995.48x = 5,140,998,846.86
  5. Step 5: Solve for x
    x = 5,140,998,846.86/77,995.48
  6. Step 6: Final answer
    x = 65,914.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.